| 简化傅里叶变换 |
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| 引用本文： | 杨毅明.简化傅里叶变换[J].电气电子教学学报,2005,27(2):35-37,44. |
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| 作者姓名： | 杨毅明 |
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| 作者单位： | 华侨大学,信息科学与工程学院,福建,泉州,362011 |
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| 摘 要： | 传统的四种形式的傅里叶变换的证明，存在着理论依据繁多、一致性不好、数学分析和推导复杂等缺点。针对这一情况，本文介绍一种新的傅里叶变换的分析和推导方法。它用简单的分析和推导方法，将四种形式的傅里叶变换紧密地联系在一起。这个方法是根据周期函数的傅里叶级数的性质和利用数学的抽象性质，直接推导出另外三种形式的傅里叶变换。
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| 关 键 词： | 傅里叶变换 周期函数 非周期函数 周期序列 非周期序列 连续变量 离散变量 |
| 文章编号： | 1008-0686(2005)02-0035-03 |
Simplifying Fourier Transform |
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| YANG Yi-ming.Simplifying Fourier Transform[J].Journal of Electrical & Electronic Engineering Education,2005,27(2):35-37,44. |
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| Authors: | YANG Yi-ming |
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| Abstract: | The traditional demonstrations of four kinds of Fourier transform have the drawback of many theoretical foundation, bad unity, complex mathematical analysis and derivation. Aiming at the above circumstances, this article introduces a new analysis and derivation method of Fourier transform. It uses simple analysis and derivation to link four kinds of Fourier transform closely. According the basic properties of Fourier series of period function and using of the abstract nature of mathematics, the method directly derives other 3 kinds of Fourier transform. |
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| Keywords: | fourier transform periodic function aperiodic function periodic sequence aperiodic sequence continuous variable discrete variable |
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